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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The smoothness of the elastic-plastic free boundary of a twisted bar
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by Luis A. Caffarelli and Néstor M. Rivière
Proc. Amer. Math. Soc. 63 (1977), 56-58
DOI: https://doi.org/10.1090/S0002-9939-1977-0521411-7
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Abstract:

We establish the regularity of the elastic-plastic free boundary of a multiply connected twisted bar. The regularity of the free boundary is determined by the regularity of the boundary of the domain.
References
  • Haïm R. Brezis and Guido Stampacchia, Sur la régularité de la solution d’inéquations elliptiques, Bull. Soc. Math. France 96 (1968), 153–180 (French). MR 239302
  • L. A. Caffarelli and N. M. Rivière, Smoothness and analyticity of free boundaries in variational inequalities, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 3 (1976), no. 2, 289–310. MR 412940
  • Tsuan Wu Ting, Elastic-plastic torsion problem over multiply connected domains, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 4 (1977), no. 2, 291–312. MR 443524
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Bibliographic Information
  • © Copyright 1977 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 63 (1977), 56-58
  • MSC: Primary 73.35
  • DOI: https://doi.org/10.1090/S0002-9939-1977-0521411-7
  • MathSciNet review: 0521411